Question

locate the point on number line 1) -4/3, 1/3, 7/3, 0,2
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Answer 1

Answer:

= option =2

Step-by-step explanation:

Given points are A(4,-1) and B(-2,-3).

Let P(x₁,y₁) and Q(x₂,y₂) be the points of trisection of line segment joining A and B.

(i)

Hence, P divides AB in the ratio 1:2.

Using section formula, the coordinates are:

= [1 * (-2) + 2 * 4/1 + 2,  1 * (-3) + 2 * (-1)/1 + 2]

= [-2 + 8/3, -3 - 2/3]

= [2, -5/3]

(ii)

Hence, Q also divides AB in the ratio 2 : 1.

Using section formula, the coordinates are:

= [2 * -2 + 1 * 4/2 + 1, 2 * -3 + 1 * -1/2 + 1]

= [-4 + 4/3, -6 - 1/3]

= [0, -7/3]

Therefore, one of the coordinates are (0,-7/3).

Hope it helps!

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